What is the equation of the parabola with focus (0, 1/2) and directrix y= -1/2

Answer:

770 x 9/100 = 69.3

the discound amount = 69.3$

the sale price = 770 - 69.3 = 700.7$

Step-by-step explanation:

Let w = width and h = height. Then we have

w = 3*h - 17

and

4*w + h = 30 (4 shelves and 1 sides).

Plug in the first equation into the second and solve for h:

4*(3*h - 12) + h = 30

12*h - 48 + h = 30

13*h = 78

h = 78/13

h = 6

Plug that in the first equation to find w = 3*6 - 17 = 1

So width = 1 feet.

height = 6 feet

The value of x determined algebraically given the total area of the rectangle is 1.5 inches

Initial dimensions:

Length = 14 inches

Width = 10 inches

New dimensions:

Length = 14 + x

Width = 10 + x

Area = 320 square inches

Area of a rectangle = Length × Width

320 = (14 + x) × (10 + x)

320 = 14x × 10x

320 = 140x²

x² = 320/140

x² = 2.28571428571428

x = √2.28571428571428

x = 1.511857892036908908858066144936720243

Approximately,

x = 1.5

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Answer:

The answer to this equation is 2

Step-by-step explanation:

x-2 = 3(2-x) \4

x-2= 6 -3x/4

cross multiply

4(x-2)= 6-3x

4x-8 = 6-3

collect like terms

4x+3x = 6+8

7x = 14

divide both sides by 7

7x/7= 14/7

x = 2

Answer:

570 ft²

Step-by-step explanation:

Basically, you find the area of Juan and Matthew's gardens then add them up.  

First let's find the area of Juan's garden.

Area is equal to length times width ([tex]a = lw[/tex])

So you do 16 * 12 which equals 192.

Now let's find the area of Matthew's garden.

So you do 18 * 21 which equals 378.

Then you add up both areas.

192 + 378 = 570

Answer:

Volume

Step-by-step explanation:

Length times width times height, is volume and the formula of finding what is inside something.

Volume :- it's the amount of the mass a body can hold

Answer:

Smith should use 900 minute plan and Jones should use 1500 minute plan

Step-by-step explanation:

There are best answers

1. Equations/Inequalities for Each Plan:

Plan A: Cost = $39.99 + 0.25 * (m - 450), m ≤ 450

Plan B: Cost = $59.99 + 0.30 * (m - 900), m ≤ 900

Plan C: Cost = $99.99 + 0.35 * (m - 1500), m ≤ 1500

2. Best Plan for Customers:

Customer Smith (750 min): Plan B ($59.99)

Customer Jones (1350 min): Plan C ($84.99)

3. For both customers, Plan B offers the best value for 750 minutes, while Plan C is optimal for 1350 minutes due to its lower cost per minute overages.

4. Plan A is the least cost-effective for both. The chosen plans reflect the importance of base minutes and overage charges.

1. Equations/Inequalities for Each Plan:

Let's denote the number of minutes used as "m."

Plan A:

Cost: $39.99 for 450 minutes, then $0.25/minute for each additional minute.

Equation: Cost = $39.99 + 0.25 * (m - 450), if m > 450

Inequality: m ≤ 450

Plan B:

Cost: $59.99 for 900 minutes, then $0.30/minute for each additional minute.

Equation: Cost = $59.99 + 0.30 * (m - 900), if m > 900

Inequality: m ≤ 900

Plan C:

Cost: $99.99 for 1500 minutes, then $0.35/minute for each additional minute.

Equation: Cost = $99.99 + 0.35 * (m - 1500), if m > 1500

Inequality: m ≤ 1500

2. Determine the Best Plan for Customers:

Let's evaluate the cost for both customers using the given plans:

Customer Smith:

Usage: 750 minutes

Plan A: Cost = $39.99 + 0.25 * (750 - 450) = $112.49

Plan B: Cost = $59.99

Plan C: Cost = $99.99

Best Plan: Plan B ($59.99)

Customer Jones:

Usage: 1350 minutes

Plan A: Cost = $39.99 + 0.25 * (1350 - 450) = $297.49

Plan B: Cost = $59.99 + 0.30 * (1350 - 900) = $374.99

Plan C: Cost = $99.99 + 0.35 * (1350 - 1500) = $84.99

Best Plan: Plan C ($84.99)

3. Explanation and Recommendation:

Customer Smith's usage of roughly 750 minutes falls within the range of Plan B's base minutes (900) and is more cost-effective with Plan B. However, for Customer Jones, who uses around 1350 minutes, Plan C offers a lower overall cost due to its higher base minutes (1500). Plan A is the least cost-effective option for both customers due to its lower base minutes and higher per-minute charges.

4. Summary for Employees:

Dear Team,

When assisting customers with choosing a cell phone plan, please consider the following options:

Plan A: $39.99 for 450 minutes, then $0.25/minute.

Plan B: $59.99 for 900 minutes, then $0.30/minute.

Plan C: $99.99 for 1500 minutes, then $0.35/minute.

For customers using around 750 minutes per month, recommend Plan B for its competitive pricing. For customers using around 1350 minutes, advise them to opt for Plan C to optimize cost efficiency. Always ensure to guide customers toward the most suitable plan based on their usage patterns.

Thank you for your dedication to excellent customer service.

Sincerely,

[Your Name]

[Your Position]

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Answer:

x > 2

Step-by-step explanation:

The graph starts at x = 2

The graph goes up and to the right so x can't be less than 2.

Answer:

Step-by-step explanation:

Answer:

y=-1/3 x+1

Step-by-step explanation:

Answer:

the answer is; 68% of 7000 which gives 4760 football fans rooting for the home team

Answer:

28

Step-by-step explanation:

a is equal to 7,

so where there is 'a' you replace

with 7

4(7)=7×4=

28

Hey there!

Let's use PEMDAS:

P=Parentheses

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtraction

So, let's use this formula in order to solve this problem.

We have:

3(4²)+4+16-9

According to PEMDAS, the first operation is

Parentheses (in this case, exponents)

Hence, the answer is

[tex]\boxed{\boxed{\bold{Option\;B}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

[tex]\rule{200}{2}[/tex]

Answer:

14.50

Step-by-step explanation:

i took the quiz on k12 truse me i wish luck

The IQR for these data is 6.25.

Answer choice A is correct.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

To find the IQR, we first need to find the first and third quartiles.

First, we need to order the data from smallest to largest:

10.5, 11, 11.5, 14.5, 14.5, 17, 17, 18, 19

Next, we find the median (middle value) of the data set.

Since we have an odd number of data points, the median is the middle number, which is 14.5.

To find the first quartile (Q1), we need to find the median of the lower half of the data set.

That is, we need to find the median of 10.5, 11, 11.5, and 14.5.

The median of this subset is (11 + 11.5) / 2 = 11.25.

To find the third quartile (Q3), we need to find the median of the upper half of the data set.

That is, we need to find the median of 17, 17, 18, and 19.

The median of this subset is (17 + 18) / 2 = 17.5.

Now we have the first quartile (Q1) = 11.25 and the third quartile (Q3) = 17.5. The IQR is the difference between Q3 and Q1:

IQR = Q3 - Q1

= 17.5 - 11.25

= 6.25

Therefore,

The IQR for these data is 6.25.

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[tex]v(y) = 0[/tex]

[tex] - 32t + 105 = 0[/tex]

[tex]t = \frac{ - 105}{ - 32} = 3.28[/tex]

[tex]h = - 16(3.28) {}^{2} + 105(3.28) + 17[/tex]

[tex]h = 189.26[/tex]

Answer:

10 miles

Step-by-step explanation:

He could run 2 miles.

Now he can run 5 times as far.

Now he can run 5 times 2 miles.

5 × 2 miles = 10 miles

She needs to consume 3 full bags of coffee before saving money.

Since Georgia is a coffee enthusiast and drinks three coffee drinks a day from a local coffee shop costing $1.25 each, and being concerned with the expense of her coffee habit Georgia looks into making her own manual brewed coffee, and a bag of premium coffee beans costs $70.00, a coffee grinder costs $120.00, and the manual coffee brewer costs $40.00, to determine, if a bag of coffee makes enough for 100 cups, how many full bags of coffee does she need to consume before saving money, the following calculation must be performed:

Therefore, she needs to consume 3 full bags of coffee before saving money.

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Answer:

Step-by-step explanation:

Since it must be an integer, 5 would make it up to the full length of the longest line. What you get is not quite a triangle. The way to get a triangle is to add one more to the 5 to make 6

Answer: 6 cm

Answer:

This means 50% of the total should be apples regardless of how many fruits there are in the bowl. If the reader only has 40% apples, they know they need to increase the number of...

Step-by-step explanation:

The margin of error would tell how many percentage differs from  Harris County's sample

The range of reasonable means for Harris County's sample is 77.7 to 82.3

The given parameters are:

The range (R) is calculated as:

[tex]R = \bar x \pm E[/tex]

Substitute known values

[tex]R = 80 \pm 2.3[/tex]

Expand

[tex]R = (80 - 2.3,80 + 2.3)[/tex]

Evaluate the difference and sum

[tex]R = (77.7,82.3)[/tex]

Hence, the range of reasonable means for Harris County's sample is 77.7 to 82.3

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Answer:

answer is 390 which is even number

any number you see has 0,2,4,6,8 at the end of a number is considered as an even number.

any number you see has 1,3,5,7,9 at the end of a number is considered as an odd number.

Answer:

500%

Step-by-step explanation:

500% is 500/100 which is just 5*4=20

Answer:

Not entirely sure about this because it was grabbed from someone else

There are 210 ways to win 1st place

There are 209 ways to win 2nd place

There are 208 ways to win 3rd place

Every time an award is won, a spot if taken, therefore one person is eliminated from possibly taking that spot.

Hope that makes sense :)

The total number of ways of contestants can win first, second, and third prizes will be 9,129,120.

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

The number of contestants is 210.

The number of ways of contestants who won the first prize will be given as,

⇒ ²¹⁰C₁

⇒ 210

The number of ways of contestants who won the second prize will be given as,

⇒ ²⁰⁹C₁

⇒ 209

The number of ways of contestants who won the third prize will be given as,

⇒ ²⁰⁸C₁

⇒ 208

Then the total number of ways of contestants can win first, second, and third prizes will be

⇒ 210 x 209 x 208

⇒ 9,129,120

The total number of ways of contestants can win first, second, and third prizes will be 9,129,120.

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2a means = 2 x a

if a = 4

3 x (2 x 4 + 6) = 3 x (8 + 6) = 3 x 14 = 42

The value of x in the direct and indirect varoation is calculated as: x = 2.

If k is the constant of proportionality among two or more variables (x, y, z), a combined equation of direct and indirect variation is, z = kx/y, if z varies directly with x and indirectly with y.

With the information stated, we would have the following:

z = kx/y³

Find k, by plugging in the values of x, y, and z:

12 = k(8/2³)

12 = k(8/8)

12 = k

k = 12

Find x when y = 1 and z = 24:

24 = 12(x)/1³

24 = 12x

24/12 = x

x = 2.

Therefore, the value of x in the direct and indirect varoation is calculated as: x = 2.

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Answer:

I think so Last 3 figured are the correct answer

Answer:

p(3,2)=====P'(-2,3)....